/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 109 How many moles of water are ther... [FREE SOLUTION] | 91Ó°ÊÓ

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How many moles of water are there in 100 grams of water?

Short Answer

Expert verified
There are approximately 5.56 moles of water in 100 grams of water.

Step by step solution

01

Understand the problem

We need to find the number of moles of water present in 100 grams. To solve this, we need to know the molecular weight of water and use the formula relating mass, molar mass, and moles.
02

Determine the molar mass of water

Water (Hâ‚‚O) is composed of two hydrogen atoms and one oxygen atom. The atomic mass of hydrogen is approximately 1 g/mol, and that of oxygen is approximately 16 g/mol. Therefore, the molar mass of water is calculated as follows:\[\text{Molar Mass of H}_2\text{O} = (2 \times 1) + 16 = 18 \text{ g/mol}\]
03

Use the formula to calculate moles

The formula used to convert mass into moles is:\[\text{Moles} = \frac{\text{Mass}}{\text{Molar Mass}}\]In this case, the mass of water is 100 g, and the molar mass is 18 g/mol. Substitute these values into the formula:\[\text{Moles of water} = \frac{100}{18}\]
04

Calculate the number of moles

Perform the division:\[\text{Moles of water} \approx 5.56\]
05

Conclusion

The calculation shows that there are approximately 5.56 moles of water in 100 grams of water.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Molar Mass
Molar mass is a fundamental concept in chemistry that connects the mass of a substance to the amount of that substance in terms of moles. To understand molar mass, let's consider water, which has the chemical formula \( \text{H}_2\text{O} \). Each molecule consists of two hydrogen atoms and one oxygen atom.
- Hydrogen has an atomic mass of approximately 1 g/mol, and oxygen has about 16 g/mol.
To find the molar mass of water, you add the atomic masses of all the atoms in a molecule:\[\text{Molar Mass of H}_2\text{O} = (2 \times 1) + 16 = 18 \text{ g/mol} \]
Understanding molar mass allows you to convert between mass in grams and the amount in moles, which is vital in chemical calculations. Every mole of a substance will have this molar mass in grams, making it a helpful tool to bridge the gap between mass and moles.
Mass to Moles Conversion
Converting mass to moles is a crucial skill in chemistry that allows you to determine the amount of a substance in terms of moles. The conversion process relies on the formula:\[\text{Moles} = \frac{\text{Mass}}{\text{Molar Mass}}\]
To effectively use this formula, you need two key pieces of information:
  • The mass of the substance in grams.
  • The molar mass of the substance, typically in g/mol.
For example, calculating the moles of water in 100 grams involves dividing the mass of water (100 grams) by its molar mass (18 g/mol):\[\text{Moles of water} = \frac{100}{18} \approx 5.56\]
This conversion tells you that 100 grams of water is equivalent to approximately 5.56 moles of water. Mastery of mass to mole conversions opens the door to understanding and predicting chemical reactions, as moles provide a direct measure of the number of molecules or atoms involved.
Atomic Mass
Atomic mass is the weight of a single atom, usually expressed in atomic mass units (amu) or grams per mole (g/mol). It's essential to grasp this concept for understanding how molar mass is calculated. Atomic masses are based on an average of the isotopes found naturally and listed on the periodic table.
- For example, the atomic mass of hydrogen is approximately 1 g/mol.
- Oxygen has an atomic mass of around 16 g/mol.
These values are directly used in finding the molar mass of compounds, such as in water, where the atomic mass of each element is considered. Recognizing atomic mass helps you appreciate how individual atoms contribute to the larger mass of molecules, and thus to the practical conversion between mass and moles for different substances.

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